Answer:
The ratio of the 18% cream in the final mixture is 1:1.6
Explanation:
Let the amount of the 18% cream be x and that of the 10% cream be y
x + y = 100••••••(i)
18% = 18/100 = 0.18
10% = 10/100 = 0.1
0.18(x) + 0.1y = 0.15(100)
0.18x + 0.1y = 15 •••••(ii)
from equation i, y = 100-x
Substitute this into i
0.18x + 0.1(100-x) = 15
0.18x + 10 - 0.1x = 15
0.18x - 0.1x = 15-10
0.08x = 5
x = 5/0.08
x = 62.5 mL
So, the ratio of the 18% cream to the final mixture will be;
62.5:100
= 62.5/100 = 2.5/4 = 1:1.6
